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3 years ago

Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

Answer:

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1 --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d

kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and

the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

3 0

4 years ago

If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her aver

Paladinen [302]

34.3 Km /h was her average velocity in km/h.

What is average velocity?

The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity.
Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.
The displacement of a body, or the shortest distance it must go during a trip, is calculated as the displacement multiplied by the time interval over which it covered that distance.

average velocity = Displacement / time taken

V = d/ l

V = 10.3 Km/0.300m = 34.3Km

Learn more about average velocity

brainly.com/question/862972

#SPJ4

3 0

2 years ago

Does the graph represent a function and if so, why?

Dmitriy789 [7]

Answer:

A. yes

Step-by-step explanation:

7 0

3 years ago

At a store, there is a display of 240 boxes of cereal. of the 240 boxes, 3/5 are brand A and 2/5 are brand B. How many boxes of

Juli2301 [7.4K]

240(3/5) = 144
240(2/5) = 96

144-96 = 48

48 boxes must be added

5 0

3 years ago

How do you graph this f(x)= -3/2|x|+5 if x≤4

LenaWriter [7]

Answer:

see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

___

If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

Of course, you don't plot any function values for x > 4.

8 0

3 years ago